Critical finite size scaling relation of the order-parameter probability distribution for the three-dimensional ising model on the Creutz cellular automaton

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Kutlu B., Civi M.

CHINESE PHYSICS LETTERS, cilt.23, sa.10, ss.2670-2673, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Konu: 10
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1088/0256-307x/23/10/013
  • Sayfa Sayıları: ss.2670-2673


We study the order parameter probability distribution at the critical point for the three-dimensional spin-1/2 and spin-1 Ising models on the simple cubic lattice under periodic boundary conditions. The finite size scaling relation for the order parameter probability distribution is tested and verified numerically by microcanonical Creutz cellular automata simulations. The state critical exponent delta, which characterizes the far tail regime of the scaling order parameter probability distribution, is estimated for three-dimensional Ising models using the cellular automaton simulations at the critical temperature. The results are in good agreement with the Monte Carlo calculations.